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chubhunter [2.5K]
3 years ago
7

Alexis and Jessica are shopping. Alexis buys 4 pairs of pants and 3 necklaces and pays $216. Jessica buys 7 pairs of pants and 2

necklaces and pays $300. Solve for the price of each item. Each pair of pants costs _____ dollars Each necklace costs________ dollars
Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Step-by-step explanation:

let us keep the price of pants as <em>x</em>

and price of necklace as <em>y</em>

Simultaneous equations comes as follows:

<em>4x</em><em> </em><em>+</em><em> </em><em>3y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>6</em><em> </em>for Alexis

<em>7x</em><em> </em><em>+</em><em> </em><em>2y</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>0</em><em> </em><em>for</em><em> </em><em>Jess</em>

<em>we'll</em><em> </em><em>make</em><em> </em><em>either</em><em> </em><em>x</em><em> </em><em>or</em><em> </em><em>y</em><em> </em><em>equal</em><em> </em>

<em>here</em><em> </em><em>let's</em><em> </em><em>make</em><em> </em><em>y</em><em> </em><em>equal</em><em> </em>

<em>2</em><em> </em><em>(</em><em> </em><em>4x</em><em> </em><em>+</em><em> </em><em>3y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>6</em><em>)</em>

<em>3</em><em> </em><em>(</em><em> </em><em>7x</em><em> </em><em>+</em><em> </em><em>2y</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>0</em><em>)</em>

<em>8x</em><em> </em><em>+</em><em> </em><em>6y</em><em> </em><em>=</em><em> </em><em>4</em><em>3</em><em>2</em>

<em>21x</em><em> </em><em>+</em><em> </em><em>6y</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em>

<em>21x</em><em> </em><em>-</em><em> </em><em>8x</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em><em> </em><em>-</em><em> </em><em>4</em><em>3</em><em>2</em>

<em>13x</em><em> </em><em>=</em><em> </em><em>4</em><em>6</em><em>8</em>

<em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>3</em><em>6</em>

<em>so</em><em> </em><em>a</em><em> </em><em>pant</em><em> </em><em>costs</em><em> </em><em>$</em><em>3</em><em>6</em>

<em>And</em><em> </em>

<em>3y</em><em> </em><em>=</em><em> </em><em>7</em><em>2</em>

<em>y</em><em> </em><em>=</em><em> </em><em>$</em><em> </em><em>2</em><em>4</em>

<em>so</em><em> </em><em>a</em><em> </em><em>necklace</em><em> </em><em>costs</em><em> </em><em>$</em><em>3</em><em>6</em>

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